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Finding the Fourth Proportional to 141,535.38, 195,321.80 and 77,873.30

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Solution

The fourth proportional to 141,535.38, 195,321.80 and 77,873.30 is: 107,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,535.38 : 195,321.80 = 77,873.30 : x
  2. Step 2: Convert to fraction form
    141,535.38/195,321.80 = 77,873.30/x
  3. Step 3: Cross multiply
    141,535.38x = 195,321.80 × 77,873.30
  4. Step 4: Simplify right side
    141,535.38x = 15,210,353,127.94
  5. Step 5: Solve for x
    x = 15,210,353,127.94/141,535.38
  6. Step 6: Final answer
    x = 107,466.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.